10752371712 has 132 divisors (see below), whose sum is σ = 31145514400. Its totient is φ = 3572785152.

The previous prime is 10752371657. The next prime is 10752371713. The reversal of 10752371712 is 21717325701.

It is a happy number.

10752371712 is a `hidden beast` number, since 107 + 523 + 7 + 17 + 12 = 666.

It is a super-2 number, since 2×10752371712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10752371713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3214713 + ... + 3218055.

Almost surely, 2^10752371712 is an apocalyptic number.

10752371712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10752371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572757200).

10752371712 is an abundant number, since it is smaller than the sum of its proper divisors (20393142688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10752371712 is a wasteful number, since it uses less digits than its factorization.

10752371712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 10752371712 in words is "ten billion, seven hundred fifty-two million, three hundred seventy-one thousand, seven hundred twelve".